# Online seminar TOMORROW, Thursday at 17:00, U. Haifa Topology & Geometry seminar on March 26, 2020

We are going to have an online seminar tomorrow. We will be using Zoom. If you would like to join tomorrows seminar, please send an e-mail to Nicholas Meadows <njmead81118@gmail.com> he will send you the Zoom URL.

Geometry & Topology Seminar

Speaker: Nicholas Meadows (University of Haifa)

Topic:  Higher homotopy operations in (infty, 1)-categories

Place:  This is an online seminar. We use Zoom, please e-mail  Nicholas Meadows <njmead81118@gmail.com> if you would like to join.

Time:   17:00

Date:  Thursday, March 26,  2020

Abstract:

Traditionally, higher homotopy operations have three primary applications in higher homotopy: generating elements in the higher homotopy groups of spheres, as an obstruction theory to rectifying homotopy commutative diagrams and describing differentials in the Bousfield-Kan spectral sequence of a (co)simplicial space. In this talk, we will define the spiral spectral sequence (which recovers the classical Bousfield-Kan spectral sequence from the E_{2} page on) in an arbitrary simplicial model category and describe the differentials in terms of higher homotopy operations. We will also explain how to represent elements in the filtration of the spiral spectral sequence as higher homotopy operations. Finally, we will sketch how one can define analogous higher homotopy operations in quasi-categories and simplicially enriched categories.

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